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86983428 = 223743019
BaseRepresentation
bin1010010111101…
…00001100000100
320001200012211110
411023310030010
5134231432203
612344205020
72104230000
oct513641404
9201605743
1086983428
1145110a34
1225169770
1315036bac
14b7a3700
157982d03
hex52f4304

86983428 has 60 divisors (see below), whose sum is σ = 236852560. Its totient is φ = 24844176.

The previous prime is 86983409. The next prime is 86983433. The reversal of 86983428 is 82438968.

It is a happy number.

It is a super-2 number, since 2×869834282 = 15132233493262368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27303 + ... + 30321.

Almost surely, 286983428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86983428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118426280).

86983428 is an abundant number, since it is smaller than the sum of its proper divisors (149869132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86983428 is a wasteful number, since it uses less digits than its factorization.

86983428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3031 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 86983428 is about 9326.4906583345. The cubic root of 86983428 is about 443.0766257770.

The spelling of 86983428 in words is "eighty-six million, nine hundred eighty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 2401 3019 4116 4802 6038 7203 9057 9604 12076 14406 18114 21133 28812 36228 42266 63399 84532 126798 147931 253596 295862 443793 591724 887586 1035517 1775172 2071034 3106551 4142068 6213102 7248619 12426204 14497238 21745857 28994476 43491714 86983428